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Finding the Fourth Proportional to 8,342.75, 11,493.23 and 5,820.28

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Solution

The fourth proportional to 8,342.75, 11,493.23 and 5,820.28 is: 8,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.75 : 11,493.23 = 5,820.28 : x
  2. Step 2: Convert to fraction form
    8,342.75/11,493.23 = 5,820.28/x
  3. Step 3: Cross multiply
    8,342.75x = 11,493.23 × 5,820.28
  4. Step 4: Simplify right side
    8,342.75x = 66,893,758.87
  5. Step 5: Solve for x
    x = 66,893,758.87/8,342.75
  6. Step 6: Final answer
    x = 8,018.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.